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We present calculations of coherent photoproduction of vector mesons($J/\Psi$ and $\Upsilon$) with leading-order parton distribution functions tocheck new kinds of corrections of the DGLAP equations and nuclearmodifications. The input gluon distribution of the proton is the dynamicalparton model from the DGLAP equations with GLR-MQ-ZRS (Gribov-Levin-Ryskin,Mueller-Qiu, Zhu-Ruan-Shen) modifications. From comparison between severalother gluon distribution models, we find that the dynamical gluon distributionfits with the results of meson photoproduction experiments in the high energyregion. The calculation of the differential cross sections using dynamical andother gluon distributions is compared with the experimental data from the HERA,ZEUS and LHCb Collaborations. Although there is little data for the rapiditydistribution of vector meson photoproduction near zero rapidity, the dynamicalgluon distribution works well with the data in the large rapidity region.

Coherent photoproductions of $J/\Psi$ and $\Upsilon$ mesons in pp and PbPb ultraperipheral collisions from dynamical gluon distribution